A class of two-parameter singularly perturbed nonlinear second order ordinary differential equations is considered in this article. A fitted mesh method which is a combination of finite difference scheme and a Shishkin mesh is developed to solve the problems. The method is proved to be essentially first order parameter independent convergent. Numerical experiments support the established theoretical results.
Mariappan, M. (2024). A fitted mesh method for a class of two-parameter nonlinear singular perturbation problems. Journal of Mathematical Modeling, 12(1), 33-49. doi: 10.22124/jmm.2023.25201.2237
MLA
Manikandan Mariappan. "A fitted mesh method for a class of two-parameter nonlinear singular perturbation problems". Journal of Mathematical Modeling, 12, 1, 2024, 33-49. doi: 10.22124/jmm.2023.25201.2237
HARVARD
Mariappan, M. (2024). 'A fitted mesh method for a class of two-parameter nonlinear singular perturbation problems', Journal of Mathematical Modeling, 12(1), pp. 33-49. doi: 10.22124/jmm.2023.25201.2237
VANCOUVER
Mariappan, M. A fitted mesh method for a class of two-parameter nonlinear singular perturbation problems. Journal of Mathematical Modeling, 2024; 12(1): 33-49. doi: 10.22124/jmm.2023.25201.2237
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